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- W2016339949 abstract "Abstract In this article we develop a finite‐difference scheme to approximate radially symmetric solutions of a dissipative nonlinear modified Klein‐Gordon equation subject to smooth initial conditions ϕ and ψ in an open sphere D around the origin, with constant internal and external damping coefficients—β and γ, respectively—, and nonlinear term of the form G ′( w ) = w p , with p > 1 an odd number. The functions ϕ and ψ are radially symmetric in D , and ϕ, ψ, r ϕ, and r ψ are assumed to be small at infinity. We prove that our scheme is consistent order 𝒪(Δ t 2 ) + 𝒪(Δ r 2 ) for G ′ identically equal to zero and provide a necessary condition for it to be stable order n . Part of our study will be devoted to compare the physical effects of β and γ. © 2005 Wiley Periodicals, Inc. Numer Methods Partial Differential Eq, 2005" @default.
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- W2016339949 date "2005-05-31" @default.
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- W2016339949 title "A numerical method for computing radially symmetric solutions of a dissipative nonlinear modified Klein-Gordon equation" @default.
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- W2016339949 doi "https://doi.org/10.1002/num.20094" @default.
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